105616656050061 has 64 divisors (see below), whose sum is σ = 164499628688640. Its totient is φ = 59676888514560.

The previous prime is 105616656050057. The next prime is 105616656050179. The reversal of 105616656050061 is 160050656616501.

It is not a de Polignac number, because 105616656050061 - 2² = 105616656050057 is a prime.

It is a super-2 number, since 2×105616656050061² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105616656050011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 683928625 + ... + 684083033.

It is an arithmetic number, because the mean of its divisors is an integer number (2570306698260).

Almost surely, 2^{105616656050061} is an apocalyptic number.

It is an amenable number.

105616656050061 is a deficient number, since it is larger than the sum of its proper divisors (58882972638579).

105616656050061 is a wasteful number, since it uses less digits than its factorization.

105616656050061 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179646.

The product of its (nonzero) digits is 972000, while the sum is 48.

The spelling of 105616656050061 in words is "one hundred five trillion, six hundred sixteen billion, six hundred fifty-six million, fifty thousand, sixty-one".